Least Common Multiple of 2574 and 2579
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2574 and 2579 the smallest integer that is 6638346 that is divisible by both numbers.
Least Common Multiple (LCM) of 2574 and 2579 is 6638346.
LCM(2574,2579) = 6638346
LCM of 2574 and 2579
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2574 and 2579 by Prime method
- Least Common Multiple of 2574 and 2579 with GCF Formula
LCM of 2574 and 2579 is 6638346
Least common multiple can be found by multiplying the highest exponent prime factors of 2574 and 2579. First we will calculate the prime factors of 2574 and 2579.
Prime Factorization of 2574
| 2 | 2574 |
| 3 | 1287 |
| 3 | 429 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 2574 are 2, 3, 11,13. Prime factorization of 2574 in exponential form is:
2574 = 21×32×111×131
Prime Factorization of 2579
| 2579 | 2579 |
| 1 |
Prime factors of 2579 are 2579. Prime factorization of 2579 in exponential form is:
2579 = 25791
Now multiplying the highest exponent prime factors to calculate the LCM of 2574 and 2579.
LCM(2574,2579) = 21×32×111×131×25791
LCM(2574,2579) = 6638346
Factors of 2574
List of positive integer factors of 2574 that divides 2574 without a remainder.
1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 33, 39, 66, 78, 99, 117, 143, 198, 234, 286, 429, 858, 1287, 2574
Factors of 2579
List of positive integer factors of 2579 that divides 2579 without a remainder.
1, 2579
Least Common Multiple of 2574 and 2579 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2574 and 2579, than apply into the LCM equation.
GCF(2574,2579) = 1
LCM(2574,2579) = ( 2574 × 2579) / 1
LCM(2574,2579) = 6638346 / 1
LCM(2574,2579) = 6638346
Properties of LCM 2574 and 2579
(i) The LCM of 2579 and 2574 is associative
LCM of 2574 and 2579 = LCM of 2579 and 2574
Related Least Common Multiples of 2574
Related Least Common Multiples of 2579
Frequently Asked Questions on LCM of 2574 and 2579
1. What is the LCM of 2574 and 2579?
Answer: LCM of 2574 and 2579 is 6638346.
2. What are the Factors of 2574?
Answer: Factors of 2574 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 33, 39, 66, 78, 99, 117, 143, 198, 234, 286, 429, 858, 1287, 2574. There are 24 integers that are factors of 2574. The greatest factor of 2574 is 2574.
3. What are the Factors of 2579?
Answer: Factors of 2579 are 1, 2579. There are 2 integers that are factors of 2579. The greatest factor of 2579 is 2579.
4. How to Find the LCM of 2574 and 2579?
Answer:
Least Common Multiple of 2574 and 2579 = 6638346
Step 1: Find the prime factorization of 2574
2574 = 2 x 3 x 3 x 11 x 13
Step 2: Find the prime factorization of 2579
2579 = 2579
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6638346 = 2 x 3 x 3 x 11 x 13 x 2579
Step 4: Therefore, the least common multiple of 2574 and 2579 is 6638346.